Lana is 12 years old. Her sister is y years
old. Lana is twice as old as her sister.
How old is Lana's sister?

Answer:

288

Step-by-step explanation:

a = 9

b = -1

c = -8

b^2 * -4 * ( a * c )

Just filing in the numbers given above:

-1^2 * -4 * ( 9 * -8 )

1 * -4 * ( -72)

1 * + 288 = 288

Answer:

b)

Step-by-step explanation:

Number of ping pong balls = 8 * number of golf balls

= 8*10

= 80

Answer:

2

3

0

2

Step-by-step explanation:

Just did intro

Answer:

2

3

0

2

Step-by-step explanation:

just did it on edg

Answer:

total area = K + R = 448  + 1,165.5  = $1,613.5  sq. in.

Step-by-step explanation:

Use formulas for area of Kite and area of rhombus.

K = area of Kite

R = area of rhombus

K = (1/2) *(diagonal 1)*(diagonal 2)

R = (1/2)*(diagonal 1)*(diagonal 2)

K = (1/2)*(28 in.)*(32 in.) = 14 * 32 = 448 sq. in.

R = (1/2)*(37 in.)*(63 in.) = 1,165.5  sq. in.

total area = K + R = 448  + 1,165.5  = $1,613.5  sq. in.

Answer:

it is 3x+10

Step-by-step explanation:

Answer:

Step-by-step explanation:

The figure must also have the rotational symmetry of 180/270°.

In geometry, symmetry is defined as a balanced and proportionate similarity that is found in two halves of an object. It means one-half is the mirror image of the other half. The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.

Types of symmetries are rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry. These four types of symmetries are examples of different types of symmetry on a flat surface called planar symmetry.

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Answer:

13.04 units to the nearest hundredth.

Step-by-step explanation:

Use the Pythagoras theorem:

c^2 = a^2 + b^2  where a, b and c are the sides of  a right triangle with c the hypotenuse.

In our triangle ( x = length of the hypotenuse):

x^2 = 13^2 + 1^2

x^2 = 169 + 1 = 170

x = √170

= 13.04.

If we are doing this mentally the best we can do is say that the hypotenuse is a small amount greater than 13.

The number of periods of REM sleep Georgia has in the 6 hours (390 minutes) as stated in the question is 8.667 periods.

Using the standard time conversion, the number of periods is 8 hours.

To determine the number of periods of REM sleep that Georgia has, we need to divide the total number of minutes of sleep by the interval at which she falls into the REM sleep.

From the given information:

The number of periods of REM sleep she has in 390 minutes of sleep is:

= 390 minutes/ 45 minutes

= 8.667 periods.

NOTE: We have only 360 minutes in 6 hours since 60 minutes = 1 hour.

= 360 minutes/ 45 minutes = 8 periods.

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Answer:

square root of 100 is 10

Step-by-step explanation:

The real roots of 100 are 10 and -10.

The root of a number x is another number, which, when multiplied by itself a given number of times, equals x.

Roots of 100 = [tex]\sqrt{100}[/tex] = ± 10

Hence, The real roots of 100 are 10 and -10.

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The height of the building is 9x.

Speed is a measure of how quickly an object moves from one place to another. It is equal to the distance traveled divided by the time.

Given:

Time= 9s

Let the speed of penny be 'x'.

We know,

speed = distance / time

distance = speed* time

distance =  x *9

distance = 9x.

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Answer:12 new, 24 used

Step-by-step explanation: i think this is right, sorry if not.

12 x 18= 216

9 x 24 = 216

216 + 216 = 432

Answer:

A=26.75

Step-by-step explanation:

A=1/2(2)(2)=2

A=1/2(5)(2)=5

A=1/2(2+2+5)(3.5)=15.75

A=2+5+15.75=26.75

Answer:

q < 7

Step-by-step explanation:

Given:

[tex]\frac{-q}{7} > -1[/tex]

Required:

Find the value of q.

First, multiply both sides by 7

[tex]7 * \frac{-q}{7} > -1 * 7[/tex]

-q > -7

Then, multiply both sides by -1

q < 7

Note that the sign of the inequality changed.

When multiplying or dividing an inequality by a number less than 0 (in other words, a negative numbers), the sign of the inequality will change.

Hence, the solution to the expression above is

q < 7

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 5x² - 36 = 0

Use the substitution u = x² then the equation is

u² - 5u - 36 = 0 ← in standard form

(u - 9)(u + 4) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 9 = 0 ⇒ u = 9

u + 4 = 0 ⇒ u = - 4

This indicates there will be 2 real roots and 2 complex roots

Change back to find values of x, that is

u = 9 ⇒ x² = 9 ⇒ x = ± [tex]\sqrt{9}[/tex] = ± 3 ← real roots

u = - 4 ⇒ x² = - 4 ⇒ x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← imaginary roots

Answer:

B

Step-by-step explanation:

i jst did it

Answer:

A

Step-by-step explanation:

line 1 is perpendicular to line 2 because of 90°.

line 2 is parallel to line 3 because of corresponding angles

Answer:

Around 169.65.

Step-by-step explanation:

The formula is (pi)r^2*h

(pi)3^2*6

(pi)9*6

54(pi)

169.65

Answer:

The other solution is -0.56

Step-by-step explanation:

Quadratic equation :[tex]4x^2 + 45x + 24 = 0[/tex]

General quadratic equation : [tex]ax^2+bx+c=0[/tex]

Om comparing :

a=4

b = 45

c=24

Formula : [tex]x =\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute the values in the formula :

[tex]x=\frac{-45 \pm \sqrt{45^2-4(4)(24)}}{2(4)}\\x=\frac{-45 + \sqrt{45^2-4(4)(24)}}{2(4)},\frac{-45 - \sqrt{45^2-4(4)(24)}}{2(4)}\\x=-0.5613,-10.688[/tex]

So, One solution is −10.69.

So, Other solution is −0.56

Hence  the other solution is -0.56

The second solution to this equation is −0.56.

In the given quadratic equation 4x2 + 45x + 24 = 0, the quadratic formula is used to find the solutions, or roots, of the equation.

This formula is x = [-b ± sqrt(b² - 4ac)] / (2a).

For this specific equation, a is 4, b is 45, and c is 24.

Since it's already given that one root is -10.69, the other root should be obtained by substituting the values into the formula and choosing the alternative sign:

x = [-45 - sqrt(45² - 4*4*24)] / (2*4) this calculation would give −0.56, which is the other solution to the equation.

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Answer:

0.06 or 6%

Step-by-step explanation:

Both bags have the numbers 5, 6, 7, 8, 9 and 10. Thus, there are 6 similar number in both bags.

The probability of picking the number 5 in both bags is:

P(5)= 1/10  * 1/10=  1/ 100

It is the same probability of picking the number 6 or 7 or 8 or 9 or 10 in both bags.

P ( 6)= 1/100

P ( 7 ) =  1 /100

P (8)=  1 /100

P ( 9 ) =  1 /100

P ( 10 ) = 1 /100

Answer:

1. is -5/7

2. is 6/-9 OR 1/-3 (negative one third)

3. is 2

Step-by-step explanation:

Answer: Choice A) 3n^2

A monomial has exactly one term. So the answer is between choices A and C based on this fact alone. We can rule out choice C as this has a coefficient of 2. Choice A has a coefficient of 3 and an exponent of 2 (so its degree 2). This is a quadratic monomial.

Answer:

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

1

As per the equation of the circle, the center of the circle is (-1.6, -9.8) units, and its radius is approximately 5.10 units.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle, and r is the radius. By comparing the given equation with the standard form, we can easily identify the values of h, k, and r.

Comparing the given equation

=> (x + 1.6)² + (y + 9.8)² = 26

with the standard form, we find that h = -1.6 and k = -9.8.

These values represent the x-coordinate and y-coordinate of the center of the circle, respectively.

To find the radius, we need to take the square root of the constant term on the right side of the equation.

R² = 26

r = √26 ≈ 5.10 (rounded to two decimal places)

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Answer:

y = - 24

Step-by-step explanation:

[tex]y = (x - 4)(x + 6) \\ plug \: x = 0 \\ y = (0 - 4)(0 + 6) \\ y = ( - 4)(6) \\ y = - 24 \\ \purple{ \bold{ \therefore \: y - intercept = - 24}}[/tex]

Answer:

2

Step-by-step explanation:

i think bc its on the middle but its ben a min since ive done it

Look at the attached screen shot. The population is 2 while the geometric mean is (Xg):4

The bug crawl in total of 90 feet of distance .

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry.

According to question

Ataut telephone wire extends from the top of a 40-foot tall telephone pole to a stake in the ground 9 feet away

So, according to diagram

AB= 9 feet

AC = 40 feet

BC =[tex]\sqrt{AB^{2} +AC^{2} }[/tex](Pythagoras theorem)

BC = [tex]\sqrt{9^{2} +40^{2} }[/tex]

BC=[tex]\sqrt{81 + 1600 }[/tex]

BC = [tex]\sqrt{ 1681 }[/tex]

BC= 41 feet

As bug start from the stake in the ground up the wire to the top of the

telephone pole. Then the bug crawled down to the bottom of the pole and back to the stake which means perimeter of right angle triangle.

Perimeter of triangle = AB + BC + AC

= 9 + 41 + 40

= 90 feet

Hence, the total distance travelled by bug is 90 feet .

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Answer:

54kph

Step-by-step explanation:

Answer:

y = 11x

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

   = (11-0)/(1-0)

   = 11/1

=11

We know the y intercept is 0 ( the y value where x is zero)

We can use the slope intercept form of the equation for a line

y = mx+b where m is the slope and b is the y intercept

y = 11x+0

y = 11x